Suppose that you are obtaining a personal loan from your uncle in the amount of $30,000 (now) to be repaid in three years to cover some of your college expenses. if your uncle usually earns 9% interest (annually) on his money, which is invested in various sources, what minimum lump-sum payment three years from now would make your uncle satisfied with his investment?

$38,851 approx

Explanation:

As per the information provided in the question, the minimum annual rate of return would be at-least equal to the usual rate of return the investor (here uncle) earns. Here it is 9% per annum.

Anything earned below this rate of return will not satisfy the investor since this represents the minimum required rate of return.

A=

Where A= Amount

           P= Principal

           r= Annual Rate Of Interest

           n= period of loan

Therefore, A=

                  A= $38,850.87 or $38,851 approx.

Answer and Explanation:

Nike

$18,627÷ ($2,494.7a+ $2,795.3b)/2

$18,627÷$2,645 = 7.0 times

Adidas

$10,299÷$1,415c+ $1,459d)/2

10,299÷$1 437= 7.2 times

2,566.2 – 71.5

b2,873.7 – 78.4

c1,527 – 112

d1,570 – 111

Average collection period

Nike

365÷7.0= 52.1 days

Adidas

365÷7.2

= 50.7 days

Therefore Adidas's accounts receivable turnover was about 3% higher [(7.2 – 7.0) ÷7.0] than that of Nike's, which simply means that Adidas was slightly more efficient than Nike in turning accounts receivable into cash.